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11089640 = 2353759127
BaseRepresentation
bin101010010011…
…011011101000
3202212102010102
4222103123220
510314332030
61033404532
7163155212
oct52233350
922772112
1011089640
1162948a1
123869748
1323b3823
1416895b2
15e90c45
hexa936e8

11089640 has 64 divisors (see below), whose sum is σ = 26265600. Its totient is φ = 4209408.

The previous prime is 11089633. The next prime is 11089643. The reversal of 11089640 is 4698011.

11089640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11089643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87257 + ... + 87383.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 211089640 is an apocalyptic number.

11089640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132800).

11089640 is an abundant number, since it is smaller than the sum of its proper divisors (15175960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11089640 is a wasteful number, since it uses less digits than its factorization.

11089640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11089640 is about 3330.1111092575. Note that the first 4 decimals coincide. The cubic root of 11089640 is about 223.0004893177. Note that the first 3 decimals are identical.

The spelling of 11089640 in words is "eleven million, eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 59 74 118 127 148 185 236 254 295 296 370 472 508 590 635 740 1016 1180 1270 1480 2183 2360 2540 4366 4699 5080 7493 8732 9398 10915 14986 17464 18796 21830 23495 29972 37465 37592 43660 46990 59944 74930 87320 93980 149860 187960 277241 299720 554482 1108964 1386205 2217928 2772410 5544820 11089640